TSTP Solution File: SWC213-1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SWC213-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Tue Jul 19 19:34:51 EDT 2022
% Result : Unsatisfiable 2.30s 2.68s
% Output : Refutation 2.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC213-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sun Jun 12 09:46:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/1.11 *** allocated 10000 integers for termspace/termends
% 0.73/1.11 *** allocated 10000 integers for clauses
% 0.73/1.11 *** allocated 10000 integers for justifications
% 0.73/1.11 Bliksem 1.12
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Automatic Strategy Selection
% 0.73/1.11
% 0.73/1.11 Clauses:
% 0.73/1.11 [
% 0.73/1.11 [ equalelemsP( nil ) ],
% 0.73/1.11 [ duplicatefreeP( nil ) ],
% 0.73/1.11 [ strictorderedP( nil ) ],
% 0.73/1.11 [ totalorderedP( nil ) ],
% 0.73/1.11 [ strictorderP( nil ) ],
% 0.73/1.11 [ totalorderP( nil ) ],
% 0.73/1.11 [ cyclefreeP( nil ) ],
% 0.73/1.11 [ ssList( nil ) ],
% 0.73/1.11 [ ssItem( skac3 ) ],
% 0.73/1.11 [ ssItem( skac2 ) ],
% 0.73/1.11 [ ~( singletonP( nil ) ) ],
% 0.73/1.11 [ ssItem( skaf83( X ) ) ],
% 0.73/1.11 [ ssList( skaf82( X ) ) ],
% 0.73/1.11 [ ssList( skaf81( X ) ) ],
% 0.73/1.11 [ ssList( skaf80( X ) ) ],
% 0.73/1.11 [ ssItem( skaf79( X ) ) ],
% 0.73/1.11 [ ssItem( skaf78( X ) ) ],
% 0.73/1.11 [ ssList( skaf77( X ) ) ],
% 0.73/1.11 [ ssList( skaf76( X ) ) ],
% 0.73/1.11 [ ssList( skaf75( X ) ) ],
% 0.73/1.11 [ ssItem( skaf74( X ) ) ],
% 0.73/1.11 [ ssList( skaf73( X ) ) ],
% 0.73/1.11 [ ssList( skaf72( X ) ) ],
% 0.73/1.11 [ ssList( skaf71( X ) ) ],
% 0.73/1.11 [ ssItem( skaf70( X ) ) ],
% 0.73/1.11 [ ssItem( skaf69( X ) ) ],
% 0.73/1.11 [ ssList( skaf68( X ) ) ],
% 0.73/1.11 [ ssList( skaf67( X ) ) ],
% 0.73/1.11 [ ssList( skaf66( X ) ) ],
% 0.73/1.11 [ ssItem( skaf65( X ) ) ],
% 0.73/1.11 [ ssItem( skaf64( X ) ) ],
% 0.73/1.11 [ ssList( skaf63( X ) ) ],
% 0.73/1.11 [ ssList( skaf62( X ) ) ],
% 0.73/1.11 [ ssList( skaf61( X ) ) ],
% 0.73/1.11 [ ssItem( skaf60( X ) ) ],
% 0.73/1.11 [ ssItem( skaf59( X ) ) ],
% 0.73/1.11 [ ssList( skaf58( X ) ) ],
% 0.73/1.11 [ ssList( skaf57( X ) ) ],
% 0.73/1.11 [ ssList( skaf56( X ) ) ],
% 0.73/1.11 [ ssItem( skaf55( X ) ) ],
% 0.73/1.11 [ ssItem( skaf54( X ) ) ],
% 0.73/1.11 [ ssList( skaf53( X ) ) ],
% 0.73/1.11 [ ssList( skaf52( X ) ) ],
% 0.73/1.11 [ ssList( skaf51( X ) ) ],
% 0.73/1.11 [ ssItem( skaf50( X ) ) ],
% 0.73/1.11 [ ssItem( skaf49( X ) ) ],
% 0.73/1.11 [ ssItem( skaf44( X ) ) ],
% 0.73/1.11 [ ssList( skaf48( X, Y ) ) ],
% 0.73/1.11 [ ssList( skaf47( X, Y ) ) ],
% 0.73/1.11 [ ssList( skaf46( X, Y ) ) ],
% 0.73/1.11 [ ssList( skaf45( X, Y ) ) ],
% 0.73/1.11 [ ssList( skaf43( X, Y ) ) ],
% 0.73/1.11 [ ssList( skaf42( X, Y ) ) ],
% 0.73/1.11 [ ~( =( skac3, skac2 ) ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), geq( X, X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), segmentP( X, nil ) ],
% 0.73/1.11 [ ~( ssList( X ) ), segmentP( X, X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), rearsegP( X, nil ) ],
% 0.73/1.11 [ ~( ssList( X ) ), rearsegP( X, X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), frontsegP( X, nil ) ],
% 0.73/1.11 [ ~( ssList( X ) ), frontsegP( X, X ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), leq( X, X ) ],
% 0.73/1.11 [ ~( lt( X, X ) ), ~( ssItem( X ) ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ],
% 0.73/1.11 [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ],
% 0.73/1.11 [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ],
% 0.73/1.11 [ ~( ssList( X ) ), =( app( X, nil ), X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), =( app( nil, X ), X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ],
% 0.73/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ],
% 0.73/1.11 [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.73/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ],
% 0.73/1.11 [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.73/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X ) ],
% 0.73/1.11 [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X ) ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y ) ) ],
% 0.73/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ), skaf49( X ) ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ), skaf50( X ) ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ), equalelemsP( X )
% 0.73/1.11 ],
% 0.73/1.11 [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ), strictorderedP(
% 0.73/1.11 X ) ],
% 0.73/1.11 [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ), totalorderedP(
% 0.73/1.11 X ) ],
% 0.73/1.11 [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.73/1.11 ) ],
% 0.73/1.11 [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ), strictorderP( X
% 0.73/1.11 ) ],
% 0.73/1.11 [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.73/1.11 ) ],
% 0.73/1.11 [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ), totalorderP( X
% 0.73/1.11 ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y ) ), Y ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y ) ), X ) ],
% 0.73/1.11 [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.73/1.11 [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ) ],
% 0.73/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.73/1.11 [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44( X ), nil ), X
% 0.73/1.11 ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X ) ],
% 0.73/1.11 [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Y ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =( nil, X ) ],
% 0.73/1.11 [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( Y, X ) ],
% 0.73/1.11 [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt( Y, X ) ],
% 0.73/1.11 [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( Y, X ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), geq( Y, X ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X ), =( nil, X
% 0.73/1.11 ) ],
% 0.73/1.11 [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), strictorderedP(
% 0.73/1.11 cons( Y, X ) ) ],
% 0.73/1.11 [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), totalorderedP(
% 0.73/1.11 cons( Y, X ) ) ],
% 0.73/1.11 [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList( Y ) ),
% 0.73/1.11 singletonP( Y ) ],
% 0.73/1.11 [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.73/1.11 , X ) ],
% 0.73/1.11 [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( nil
% 0.73/1.11 , Y ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil ), Y ), cons(
% 0.73/1.11 X, Y ) ) ],
% 0.73/1.11 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.73/1.11 , Y ) ],
% 0.73/1.11 [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Y ), =( X
% 0.73/1.11 , Y ) ],
% 0.73/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd( app( Y, X ) )
% 0.73/1.11 , hd( Y ) ) ],
% 0.73/1.11 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.73/1.11 ), strictorderedP( Y ), =( nil, Y ) ],
% 0.73/1.11 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.73/1.11 , totalorderedP( Y ), =( nil, Y ) ],
% 0.73/1.11 [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.73/1.11 , =( Y, X ) ],
% 0.73/1.11 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.73/1.11 ssList( Y ) ), =( Y, X ) ],
% 0.73/1.11 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.73/1.11 ssList( Y ) ), =( Y, X ) ],
% 0.73/1.11 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~( ssList( X ) ), ~(
% 0.73/1.11 ssList( Y ) ), =( Y, X ) ],
% 0.73/1.11 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ), ~( ssItem( Y ) )
% 0.73/1.11 , =( Y, X ) ],
% 0.73/1.11 [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app(
% 0.73/1.11 skaf46( X, Y ), Y ), X ) ],
% 0.73/1.11 [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( Y
% 0.73/1.11 , skaf45( X, Y ) ), X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl( app( Y, X ) )
% 0.73/1.11 , app( tl( Y ), X ) ) ],
% 0.73/1.11 [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X )
% 0.73/1.11 ), lt( X, hd( Y ) ), =( nil, Y ) ],
% 0.73/1.11 [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ), ~( ssItem( X ) )
% 0.73/1.11 , leq( X, hd( Y ) ), =( nil, Y ) ],
% 0.73/1.11 [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.73/1.11 X ) ), rearsegP( app( Z, X ), Y ) ],
% 0.73/1.11 [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y ) ), ~( ssList(
% 0.73/1.11 X ) ), frontsegP( app( X, Z ), Y ) ],
% 0.73/1.11 [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 0.73/1.11 memberP( cons( Y, Z ), X ) ],
% 0.73/1.11 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y
% 0.73/1.11 ) ), memberP( cons( Z, X ), Y ) ],
% 0.73/1.11 [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y
% 0.73/1.11 ) ), memberP( app( X, Z ), Y ) ],
% 0.73/1.11 [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) ), ~( ssItem( Y
% 0.73/1.11 ) ), memberP( app( Z, X ), Y ) ],
% 0.73/1.11 [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X ), cons( skaf78(
% 0.73/1.11 X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ],
% 0.73/1.11 [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y ) ), ~(
% 0.73/1.11 ssList( Z ) ), rearsegP( Z, Y ) ],
% 0.73/1.11 [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), ~(
% 0.73/1.11 ssList( Z ) ), frontsegP( Z, X ) ],
% 0.73/1.11 [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.73/1.11 , =( app( X, Y ), nil ) ],
% 0.73/1.11 [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.73/1.11 ~( ssItem( X ) ), gt( X, Z ) ],
% 0.73/1.11 [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.73/1.11 , ~( ssItem( X ) ), lt( X, Z ) ],
% 0.73/1.11 [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.73/1.11 , ~( ssItem( X ) ), geq( X, Z ) ],
% 0.73/1.11 [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( app( app( Z,
% 0.73/1.11 Y ), X ), app( Z, app( Y, X ) ) ) ],
% 0.73/1.11 [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ), ~( ssList( X ) )
% 0.73/1.11 , ~( ssList( Z ) ), =( Y, Z ) ],
% 0.73/1.11 [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ), ~( ssList( Y ) )
% 0.73/1.11 , ~( ssList( Z ) ), =( X, Z ) ],
% 0.73/1.11 [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.73/1.11 ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ],
% 0.73/1.11 [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.73/1.11 ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ],
% 0.73/1.11 [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~( ssList( Z ) ), ~(
% 0.73/1.11 ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ],
% 0.73/1.11 [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ),
% 0.73/1.11 ~( ssItem( X ) ), lt( X, Z ) ],
% 0.73/1.11 [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) )
% 0.73/1.11 , ~( ssItem( X ) ), leq( X, Z ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ), =( cons( X, app(
% 0.73/1.11 Y, Z ) ), app( cons( X, Y ), Z ) ) ],
% 0.73/1.11 [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ),
% 0.73/1.11 ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ],
% 0.73/1.11 [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.73/1.11 ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.73/1.11 [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~( ssList( Y ) ), ~(
% 0.73/1.11 ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil, Y ) ],
% 0.73/1.11 [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssItem( X ) ),
% 0.73/1.11 ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ],
% 0.73/1.11 [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app( skaf75( X ), cons(
% 0.73/1.11 skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ), skaf77( X ) ) ), X ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( ssList( X ) ), strictorderedP( X ), =( app( app( skaf71( X ), cons(
% 0.73/1.11 skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ), skaf73( X ) ) ), X ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( ssList( X ) ), totalorderedP( X ), =( app( app( skaf66( X ), cons(
% 0.73/1.11 skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ), skaf68( X ) ) ), X ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61( X ), cons(
% 0.73/1.11 skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) ) ), X ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56( X ), cons(
% 0.73/1.11 skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) ) ), X ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51( X ), cons(
% 0.73/1.11 skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) ) ), X ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X ) ), =( app( app(
% 0.73/1.11 skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ],
% 0.73/1.11 [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) ), =( app(
% 0.73/1.11 skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ],
% 0.73/1.11 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.73/1.11 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ],
% 0.73/1.11 [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ), ~( ssItem( X )
% 0.73/1.11 ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ],
% 0.73/1.11 [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T ) ), ~( ssList(
% 0.73/1.11 Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ), Y ) ],
% 0.73/1.11 [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 0.73/1.11 , ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ],
% 0.73/1.11 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.73/1.11 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y, T ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ), ~( ssList( X )
% 0.73/1.11 ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ],
% 0.73/1.11 [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList( T ) ), ~(
% 0.73/1.11 ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ],
% 0.73/1.11 [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ), ~( ssList( X )
% 0.73/1.11 ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ],
% 0.73/1.11 [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) ), ~( ssList( X
% 0.73/1.11 ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons( Z, X ), cons(
% 0.73/1.11 T, Y ) ) ],
% 0.73/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) ), ~( ssList( T
% 0.73/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) ), ~(
% 0.73/1.11 duplicatefreeP( U ) ), ~( ssList( U ) ) ],
% 0.73/1.11 [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~( ssList( T ) ), ~(
% 0.73/1.11 ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~( equalelemsP( U ) )
% 0.73/1.11 , ~( ssList( U ) ), =( Y, Z ) ],
% 0.73/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.11 ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T ) ],
% 0.73/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.11 ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T ) ],
% 0.73/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.11 ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T ), lt( T, Y ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) ), ~( ssList( U
% 0.73/1.11 ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Y
% 0.73/1.11 ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T ), leq( T, Y ) ]
% 0.73/1.11 ,
% 0.73/1.11 [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z, cons( X, T ) )
% 0.73/1.11 , cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) ), ~( ssList( Z
% 0.73/1.11 ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W ) ), ~( ssList(
% 0.73/1.11 W ) ) ],
% 0.73/1.11 [ ssList( sk1 ) ],
% 0.73/1.11 [ ssList( sk2 ) ],
% 0.73/1.11 [ ssList( sk3 ) ],
% 0.73/1.11 [ ssList( sk4 ) ],
% 0.73/1.11 [ =( sk2, sk4 ) ],
% 0.73/1.11 [ =( sk1, sk3 ) ],
% 0.73/1.11 [ neq( sk2, nil ) ],
% 0.73/1.11 [ ssList( sk5 ) ],
% 0.73/1.11 [ ssList( sk6 ) ],
% 0.73/1.11 [ =( app( app( sk5, sk3 ), sk6 ), sk4 ) ],
% 0.73/1.11 [ equalelemsP( sk3 ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons( X, nil ) ),
% 0.73/1.11 sk5 ) ), ~( ssList( Z ) ), ~( =( app( cons( X, nil ), Z ), sk3 ) ) ],
% 0.73/1.11 [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X, nil ), Y ),
% 0.73/1.11 sk6 ) ), ~( ssList( Z ) ), ~( =( app( Z, cons( X, nil ) ), sk3 ) ) ],
% 0.73/1.11 [ ~( neq( sk1, nil ) ) ],
% 0.73/1.11 [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ]
% 0.73/1.11 ] .
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 percentage equality = 0.168558, percentage horn = 0.847716
% 0.73/1.11 This is a problem with some equality
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11
% 0.73/1.11 Options Used:
% 0.73/1.11
% 0.73/1.11 useres = 1
% 0.73/1.11 useparamod = 1
% 0.73/1.11 useeqrefl = 1
% 0.73/1.11 useeqfact = 1
% 0.73/1.11 usefactor = 1
% 0.73/1.11 usesimpsplitting = 0
% 0.73/1.11 usesimpdemod = 5
% 0.73/1.11 usesimpres = 3
% 0.73/1.11
% 0.73/1.11 resimpinuse = 1000
% 0.73/1.11 resimpclauses = 20000
% 0.73/1.11 substype = eqrewr
% 0.73/1.11 backwardsubs = 1
% 0.73/1.11 selectoldest = 5
% 0.73/1.11
% 0.73/1.11 litorderings [0] = split
% 0.73/1.11 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.11
% 0.73/1.11 termordering = kbo
% 0.73/1.11
% 0.73/1.11 litapriori = 0
% 0.73/1.11 termapriori = 1
% 0.73/1.11 litaposteriori = 0
% 0.73/1.11 termaposteriori = 0
% 0.73/1.11 demodaposteriori = 0
% 0.73/1.11 ordereqreflfact = 0
% 0.73/1.11
% 0.73/1.11 litselect = negord
% 0.73/1.11
% 0.73/1.11 maxweight = 15
% 0.73/1.11 maxdepth = 30000
% 0.73/1.11 maxlength = 115
% 0.73/1.11 maxnrvars = 195
% 0.73/1.11 excuselevel = 1
% 0.73/1.11 increasemaxweight = 1
% 0.73/1.11
% 0.73/1.11 maxselected = 10000000
% 0.73/1.11 maxnrclauses = 10000000
% 0.73/1.11
% 0.73/1.11 showgenerated = 0
% 0.73/1.11 showkept = 0
% 2.30/2.68 showselected = 0
% 2.30/2.68 showdeleted = 0
% 2.30/2.68 showresimp = 1
% 2.30/2.68 showstatus = 2000
% 2.30/2.68
% 2.30/2.68 prologoutput = 1
% 2.30/2.68 nrgoals = 5000000
% 2.30/2.68 totalproof = 1
% 2.30/2.68
% 2.30/2.68 Symbols occurring in the translation:
% 2.30/2.68
% 2.30/2.68 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.30/2.68 . [1, 2] (w:1, o:80, a:1, s:1, b:0),
% 2.30/2.68 ! [4, 1] (w:0, o:27, a:1, s:1, b:0),
% 2.30/2.68 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.30/2.68 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.30/2.68 nil [39, 0] (w:1, o:17, a:1, s:1, b:0),
% 2.30/2.68 equalelemsP [40, 1] (w:1, o:34, a:1, s:1, b:0),
% 2.30/2.68 duplicatefreeP [41, 1] (w:1, o:33, a:1, s:1, b:0),
% 2.30/2.68 strictorderedP [42, 1] (w:1, o:37, a:1, s:1, b:0),
% 2.30/2.68 totalorderedP [43, 1] (w:1, o:76, a:1, s:1, b:0),
% 2.30/2.68 strictorderP [44, 1] (w:1, o:38, a:1, s:1, b:0),
% 2.30/2.68 totalorderP [45, 1] (w:1, o:77, a:1, s:1, b:0),
% 2.30/2.68 cyclefreeP [46, 1] (w:1, o:32, a:1, s:1, b:0),
% 2.30/2.68 ssList [47, 1] (w:1, o:35, a:1, s:1, b:0),
% 2.30/2.68 skac3 [48, 0] (w:1, o:6, a:1, s:1, b:0),
% 2.30/2.68 ssItem [49, 1] (w:1, o:36, a:1, s:1, b:0),
% 2.30/2.68 skac2 [50, 0] (w:1, o:5, a:1, s:1, b:0),
% 2.30/2.68 singletonP [51, 1] (w:1, o:39, a:1, s:1, b:0),
% 2.30/2.68 skaf83 [53, 1] (w:1, o:75, a:1, s:1, b:0),
% 2.30/2.68 skaf82 [54, 1] (w:1, o:74, a:1, s:1, b:0),
% 2.30/2.68 skaf81 [55, 1] (w:1, o:73, a:1, s:1, b:0),
% 2.30/2.68 skaf80 [56, 1] (w:1, o:72, a:1, s:1, b:0),
% 2.30/2.68 skaf79 [57, 1] (w:1, o:71, a:1, s:1, b:0),
% 2.30/2.68 skaf78 [58, 1] (w:1, o:70, a:1, s:1, b:0),
% 2.30/2.68 skaf77 [59, 1] (w:1, o:69, a:1, s:1, b:0),
% 2.30/2.68 skaf76 [60, 1] (w:1, o:68, a:1, s:1, b:0),
% 2.30/2.68 skaf75 [61, 1] (w:1, o:67, a:1, s:1, b:0),
% 2.30/2.68 skaf74 [62, 1] (w:1, o:66, a:1, s:1, b:0),
% 2.30/2.68 skaf73 [63, 1] (w:1, o:65, a:1, s:1, b:0),
% 2.30/2.68 skaf72 [64, 1] (w:1, o:64, a:1, s:1, b:0),
% 2.30/2.68 skaf71 [65, 1] (w:1, o:63, a:1, s:1, b:0),
% 2.30/2.68 skaf70 [66, 1] (w:1, o:62, a:1, s:1, b:0),
% 2.30/2.68 skaf69 [67, 1] (w:1, o:61, a:1, s:1, b:0),
% 2.30/2.68 skaf68 [68, 1] (w:1, o:60, a:1, s:1, b:0),
% 2.30/2.68 skaf67 [69, 1] (w:1, o:59, a:1, s:1, b:0),
% 2.30/2.68 skaf66 [70, 1] (w:1, o:58, a:1, s:1, b:0),
% 2.30/2.68 skaf65 [71, 1] (w:1, o:57, a:1, s:1, b:0),
% 2.30/2.68 skaf64 [72, 1] (w:1, o:56, a:1, s:1, b:0),
% 2.30/2.68 skaf63 [73, 1] (w:1, o:55, a:1, s:1, b:0),
% 2.30/2.68 skaf62 [74, 1] (w:1, o:54, a:1, s:1, b:0),
% 2.30/2.68 skaf61 [75, 1] (w:1, o:53, a:1, s:1, b:0),
% 2.30/2.68 skaf60 [76, 1] (w:1, o:52, a:1, s:1, b:0),
% 2.30/2.68 skaf59 [77, 1] (w:1, o:51, a:1, s:1, b:0),
% 2.30/2.68 skaf58 [78, 1] (w:1, o:50, a:1, s:1, b:0),
% 2.30/2.68 skaf57 [79, 1] (w:1, o:49, a:1, s:1, b:0),
% 2.30/2.68 skaf56 [80, 1] (w:1, o:48, a:1, s:1, b:0),
% 2.30/2.68 skaf55 [81, 1] (w:1, o:47, a:1, s:1, b:0),
% 2.30/2.68 skaf54 [82, 1] (w:1, o:46, a:1, s:1, b:0),
% 2.30/2.68 skaf53 [83, 1] (w:1, o:45, a:1, s:1, b:0),
% 2.30/2.68 skaf52 [84, 1] (w:1, o:44, a:1, s:1, b:0),
% 2.30/2.68 skaf51 [85, 1] (w:1, o:43, a:1, s:1, b:0),
% 2.30/2.68 skaf50 [86, 1] (w:1, o:42, a:1, s:1, b:0),
% 2.30/2.68 skaf49 [87, 1] (w:1, o:40, a:1, s:1, b:0),
% 2.30/2.68 skaf44 [88, 1] (w:1, o:41, a:1, s:1, b:0),
% 2.30/2.68 skaf48 [90, 2] (w:1, o:109, a:1, s:1, b:0),
% 2.30/2.68 skaf47 [91, 2] (w:1, o:108, a:1, s:1, b:0),
% 2.30/2.68 skaf46 [92, 2] (w:1, o:107, a:1, s:1, b:0),
% 2.30/2.68 skaf45 [93, 2] (w:1, o:106, a:1, s:1, b:0),
% 2.30/2.68 skaf43 [94, 2] (w:1, o:111, a:1, s:1, b:0),
% 2.30/2.68 skaf42 [95, 2] (w:1, o:110, a:1, s:1, b:0),
% 2.30/2.68 geq [96, 2] (w:1, o:113, a:1, s:1, b:0),
% 2.30/2.68 segmentP [97, 2] (w:1, o:114, a:1, s:1, b:0),
% 2.30/2.68 rearsegP [98, 2] (w:1, o:105, a:1, s:1, b:0),
% 2.30/2.68 frontsegP [99, 2] (w:1, o:112, a:1, s:1, b:0),
% 2.30/2.68 leq [100, 2] (w:1, o:115, a:1, s:1, b:0),
% 2.30/2.68 lt [101, 2] (w:1, o:116, a:1, s:1, b:0),
% 2.30/2.68 cons [102, 2] (w:1, o:117, a:1, s:1, b:0),
% 2.30/2.68 memberP [103, 2] (w:1, o:118, a:1, s:1, b:0),
% 2.30/2.68 app [104, 2] (w:1, o:119, a:1, s:1, b:0),
% 2.30/2.68 tl [105, 1] (w:1, o:78, a:1, s:1, b:0),
% 2.30/2.68 hd [106, 1] (w:1, o:79, a:1, s:1, b:0),
% 2.30/2.68 neq [107, 2] (w:1, o:120, a:1, s:1, b:0),
% 2.30/2.68 gt [108, 2] (w:1, o:121, a:1, s:1, b:0),
% 2.30/2.68 sk1 [113, 0] (w:1, o:7, a:1, s:1, b:0),
% 2.30/2.68 sk2 [114, 0] (w:1, o:8, a:1, s:1, b:0),
% 2.30/2.68 sk3 [115, 0] (w:1, o:9, a:1, s:1, b:0),
% 2.30/2.68 sk4 [116, 0] (w:1, o:10, a:1, s:1, b:0),
% 2.30/2.68 sk5 [117, 0] (w:1, o:11, a:1, s:1, b:0),
% 2.30/2.68 sk6 [118, 0] (w:1, o:12, a:1, s:1, b:0).
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Starting Search:
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Intermediate Status:
% 2.30/2.68 Generated: 4179
% 2.30/2.68 Kept: 2083
% 2.30/2.68 Inuse: 209
% 2.30/2.68 Deleted: 2
% 2.30/2.68 Deletedinuse: 0
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Intermediate Status:
% 2.30/2.68 Generated: 9031
% 2.30/2.68 Kept: 4722
% 2.30/2.68 Inuse: 292
% 2.30/2.68 Deleted: 4
% 2.30/2.68 Deletedinuse: 0
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Intermediate Status:
% 2.30/2.68 Generated: 16812
% 2.30/2.68 Kept: 6843
% 2.30/2.68 Inuse: 411
% 2.30/2.68 Deleted: 178
% 2.30/2.68 Deletedinuse: 163
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Intermediate Status:
% 2.30/2.68 Generated: 22800
% 2.30/2.68 Kept: 8951
% 2.30/2.68 Inuse: 468
% 2.30/2.68 Deleted: 191
% 2.30/2.68 Deletedinuse: 163
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Intermediate Status:
% 2.30/2.68 Generated: 32194
% 2.30/2.68 Kept: 10951
% 2.30/2.68 Inuse: 529
% 2.30/2.68 Deleted: 192
% 2.30/2.68 Deletedinuse: 163
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Intermediate Status:
% 2.30/2.68 Generated: 44330
% 2.30/2.68 Kept: 13022
% 2.30/2.68 Inuse: 600
% 2.30/2.68 Deleted: 194
% 2.30/2.68 Deletedinuse: 163
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Intermediate Status:
% 2.30/2.68 Generated: 57989
% 2.30/2.68 Kept: 15196
% 2.30/2.68 Inuse: 639
% 2.30/2.68 Deleted: 195
% 2.30/2.68 Deletedinuse: 163
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Intermediate Status:
% 2.30/2.68 Generated: 81298
% 2.30/2.68 Kept: 17459
% 2.30/2.68 Inuse: 660
% 2.30/2.68 Deleted: 206
% 2.30/2.68 Deletedinuse: 165
% 2.30/2.68
% 2.30/2.68 Resimplifying inuse:
% 2.30/2.68 Done
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 Bliksems!, er is een bewijs:
% 2.30/2.68 % SZS status Unsatisfiable
% 2.30/2.68 % SZS output start Refutation
% 2.30/2.68
% 2.30/2.68 clause( 7, [ ssList( nil ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 2.30/2.68 )
% 2.30/2.68 .
% 2.30/2.68 clause( 112, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.30/2.68 ssList( X ) ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 182, [ ssList( sk1 ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 183, [ ssList( sk2 ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 186, [ =( sk4, sk2 ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 187, [ =( sk3, sk1 ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 188, [ neq( sk2, nil ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 195, [ ~( neq( sk1, nil ) ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 196, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 3177, [ ~( ssList( sk1 ) ), =( nil, sk1 ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 3772, [ =( nil, sk1 ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 3911, [ neq( sk2, sk1 ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 5138, [ ~( =( sk2, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 7361, [ ~( =( sk2, sk1 ) ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 18368, [ =( sk2, sk1 ) ] )
% 2.30/2.68 .
% 2.30/2.68 clause( 18369, [] )
% 2.30/2.68 .
% 2.30/2.68
% 2.30/2.68
% 2.30/2.68 % SZS output end Refutation
% 2.30/2.68 found a proof!
% 2.30/2.68
% 2.30/2.68 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.30/2.68
% 2.30/2.68 initialclauses(
% 2.30/2.68 [ clause( 18371, [ equalelemsP( nil ) ] )
% 2.30/2.68 , clause( 18372, [ duplicatefreeP( nil ) ] )
% 2.30/2.68 , clause( 18373, [ strictorderedP( nil ) ] )
% 2.30/2.68 , clause( 18374, [ totalorderedP( nil ) ] )
% 2.30/2.68 , clause( 18375, [ strictorderP( nil ) ] )
% 2.30/2.68 , clause( 18376, [ totalorderP( nil ) ] )
% 2.30/2.68 , clause( 18377, [ cyclefreeP( nil ) ] )
% 2.30/2.68 , clause( 18378, [ ssList( nil ) ] )
% 2.30/2.68 , clause( 18379, [ ssItem( skac3 ) ] )
% 2.30/2.68 , clause( 18380, [ ssItem( skac2 ) ] )
% 2.30/2.68 , clause( 18381, [ ~( singletonP( nil ) ) ] )
% 2.30/2.68 , clause( 18382, [ ssItem( skaf83( X ) ) ] )
% 2.30/2.68 , clause( 18383, [ ssList( skaf82( X ) ) ] )
% 2.30/2.68 , clause( 18384, [ ssList( skaf81( X ) ) ] )
% 2.30/2.68 , clause( 18385, [ ssList( skaf80( X ) ) ] )
% 2.30/2.68 , clause( 18386, [ ssItem( skaf79( X ) ) ] )
% 2.30/2.68 , clause( 18387, [ ssItem( skaf78( X ) ) ] )
% 2.30/2.68 , clause( 18388, [ ssList( skaf77( X ) ) ] )
% 2.30/2.68 , clause( 18389, [ ssList( skaf76( X ) ) ] )
% 2.30/2.68 , clause( 18390, [ ssList( skaf75( X ) ) ] )
% 2.30/2.68 , clause( 18391, [ ssItem( skaf74( X ) ) ] )
% 2.30/2.68 , clause( 18392, [ ssList( skaf73( X ) ) ] )
% 2.30/2.68 , clause( 18393, [ ssList( skaf72( X ) ) ] )
% 2.30/2.68 , clause( 18394, [ ssList( skaf71( X ) ) ] )
% 2.30/2.68 , clause( 18395, [ ssItem( skaf70( X ) ) ] )
% 2.30/2.68 , clause( 18396, [ ssItem( skaf69( X ) ) ] )
% 2.30/2.68 , clause( 18397, [ ssList( skaf68( X ) ) ] )
% 2.30/2.68 , clause( 18398, [ ssList( skaf67( X ) ) ] )
% 2.30/2.68 , clause( 18399, [ ssList( skaf66( X ) ) ] )
% 2.30/2.68 , clause( 18400, [ ssItem( skaf65( X ) ) ] )
% 2.30/2.68 , clause( 18401, [ ssItem( skaf64( X ) ) ] )
% 2.30/2.68 , clause( 18402, [ ssList( skaf63( X ) ) ] )
% 2.30/2.68 , clause( 18403, [ ssList( skaf62( X ) ) ] )
% 2.30/2.68 , clause( 18404, [ ssList( skaf61( X ) ) ] )
% 2.30/2.68 , clause( 18405, [ ssItem( skaf60( X ) ) ] )
% 2.30/2.68 , clause( 18406, [ ssItem( skaf59( X ) ) ] )
% 2.30/2.68 , clause( 18407, [ ssList( skaf58( X ) ) ] )
% 2.30/2.68 , clause( 18408, [ ssList( skaf57( X ) ) ] )
% 2.30/2.68 , clause( 18409, [ ssList( skaf56( X ) ) ] )
% 2.30/2.68 , clause( 18410, [ ssItem( skaf55( X ) ) ] )
% 2.30/2.68 , clause( 18411, [ ssItem( skaf54( X ) ) ] )
% 2.30/2.68 , clause( 18412, [ ssList( skaf53( X ) ) ] )
% 2.30/2.68 , clause( 18413, [ ssList( skaf52( X ) ) ] )
% 2.30/2.68 , clause( 18414, [ ssList( skaf51( X ) ) ] )
% 2.30/2.68 , clause( 18415, [ ssItem( skaf50( X ) ) ] )
% 2.30/2.68 , clause( 18416, [ ssItem( skaf49( X ) ) ] )
% 2.30/2.68 , clause( 18417, [ ssItem( skaf44( X ) ) ] )
% 2.30/2.68 , clause( 18418, [ ssList( skaf48( X, Y ) ) ] )
% 2.30/2.68 , clause( 18419, [ ssList( skaf47( X, Y ) ) ] )
% 2.30/2.68 , clause( 18420, [ ssList( skaf46( X, Y ) ) ] )
% 2.30/2.68 , clause( 18421, [ ssList( skaf45( X, Y ) ) ] )
% 2.30/2.68 , clause( 18422, [ ssList( skaf43( X, Y ) ) ] )
% 2.30/2.68 , clause( 18423, [ ssList( skaf42( X, Y ) ) ] )
% 2.30/2.68 , clause( 18424, [ ~( =( skac3, skac2 ) ) ] )
% 2.30/2.68 , clause( 18425, [ ~( ssItem( X ) ), geq( X, X ) ] )
% 2.30/2.68 , clause( 18426, [ ~( ssList( X ) ), segmentP( X, nil ) ] )
% 2.30/2.68 , clause( 18427, [ ~( ssList( X ) ), segmentP( X, X ) ] )
% 2.30/2.68 , clause( 18428, [ ~( ssList( X ) ), rearsegP( X, nil ) ] )
% 2.30/2.68 , clause( 18429, [ ~( ssList( X ) ), rearsegP( X, X ) ] )
% 2.30/2.68 , clause( 18430, [ ~( ssList( X ) ), frontsegP( X, nil ) ] )
% 2.30/2.68 , clause( 18431, [ ~( ssList( X ) ), frontsegP( X, X ) ] )
% 2.30/2.68 , clause( 18432, [ ~( ssItem( X ) ), leq( X, X ) ] )
% 2.30/2.68 , clause( 18433, [ ~( lt( X, X ) ), ~( ssItem( X ) ) ] )
% 2.30/2.68 , clause( 18434, [ ~( ssItem( X ) ), equalelemsP( cons( X, nil ) ) ] )
% 2.30/2.68 , clause( 18435, [ ~( ssItem( X ) ), duplicatefreeP( cons( X, nil ) ) ] )
% 2.30/2.68 , clause( 18436, [ ~( ssItem( X ) ), strictorderedP( cons( X, nil ) ) ] )
% 2.30/2.68 , clause( 18437, [ ~( ssItem( X ) ), totalorderedP( cons( X, nil ) ) ] )
% 2.30/2.68 , clause( 18438, [ ~( ssItem( X ) ), strictorderP( cons( X, nil ) ) ] )
% 2.30/2.68 , clause( 18439, [ ~( ssItem( X ) ), totalorderP( cons( X, nil ) ) ] )
% 2.30/2.68 , clause( 18440, [ ~( ssItem( X ) ), cyclefreeP( cons( X, nil ) ) ] )
% 2.30/2.68 , clause( 18441, [ ~( memberP( nil, X ) ), ~( ssItem( X ) ) ] )
% 2.30/2.68 , clause( 18442, [ ~( ssList( X ) ), duplicatefreeP( X ), ssItem( Y ) ] )
% 2.30/2.68 , clause( 18443, [ ~( ssList( X ) ), =( app( X, nil ), X ) ] )
% 2.30/2.68 , clause( 18444, [ ~( ssList( X ) ), =( app( nil, X ), X ) ] )
% 2.30/2.68 , clause( 18445, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.30/2.68 , clause( 18446, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.30/2.68 , clause( 18447, [ ~( ssList( X ) ), ssList( tl( X ) ), =( nil, X ) ] )
% 2.30/2.68 , clause( 18448, [ ~( ssList( X ) ), ssItem( hd( X ) ), =( nil, X ) ] )
% 2.30/2.68 , clause( 18449, [ ~( =( nil, X ) ), ~( ssList( X ) ), segmentP( nil, X ) ]
% 2.30/2.68 )
% 2.30/2.68 , clause( 18450, [ ~( segmentP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.30/2.68 )
% 2.30/2.68 , clause( 18451, [ ~( =( nil, X ) ), ~( ssList( X ) ), rearsegP( nil, X ) ]
% 2.30/2.68 )
% 2.30/2.68 , clause( 18452, [ ~( rearsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X ) ]
% 2.30/2.68 )
% 2.30/2.68 , clause( 18453, [ ~( =( nil, X ) ), ~( ssList( X ) ), frontsegP( nil, X )
% 2.30/2.68 ] )
% 2.30/2.68 , clause( 18454, [ ~( frontsegP( nil, X ) ), ~( ssList( X ) ), =( nil, X )
% 2.30/2.68 ] )
% 2.30/2.68 , clause( 18455, [ ~( ssList( X ) ), ~( ssList( Y ) ), ssList( app( Y, X )
% 2.30/2.68 ) ] )
% 2.30/2.68 , clause( 18456, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ssList( cons( X, Y )
% 2.30/2.68 ) ] )
% 2.30/2.68 , clause( 18457, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf50( X ),
% 2.30/2.68 skaf49( X ) ) ] )
% 2.30/2.68 , clause( 18458, [ ~( ssList( X ) ), cyclefreeP( X ), leq( skaf49( X ),
% 2.30/2.68 skaf50( X ) ) ] )
% 2.30/2.68 , clause( 18459, [ ~( =( skaf79( X ), skaf78( X ) ) ), ~( ssList( X ) ),
% 2.30/2.68 equalelemsP( X ) ] )
% 2.30/2.68 , clause( 18460, [ ~( lt( skaf69( X ), skaf70( X ) ) ), ~( ssList( X ) ),
% 2.30/2.68 strictorderedP( X ) ] )
% 2.30/2.68 , clause( 18461, [ ~( leq( skaf64( X ), skaf65( X ) ) ), ~( ssList( X ) ),
% 2.30/2.68 totalorderedP( X ) ] )
% 2.30/2.68 , clause( 18462, [ ~( lt( skaf60( X ), skaf59( X ) ) ), ~( ssList( X ) ),
% 2.30/2.68 strictorderP( X ) ] )
% 2.30/2.68 , clause( 18463, [ ~( lt( skaf59( X ), skaf60( X ) ) ), ~( ssList( X ) ),
% 2.30/2.68 strictorderP( X ) ] )
% 2.30/2.68 , clause( 18464, [ ~( leq( skaf55( X ), skaf54( X ) ) ), ~( ssList( X ) ),
% 2.30/2.68 totalorderP( X ) ] )
% 2.30/2.68 , clause( 18465, [ ~( leq( skaf54( X ), skaf55( X ) ) ), ~( ssList( X ) ),
% 2.30/2.68 totalorderP( X ) ] )
% 2.30/2.68 , clause( 18466, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( tl( cons( X, Y )
% 2.30/2.68 ), Y ) ] )
% 2.30/2.68 , clause( 18467, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( hd( cons( X, Y )
% 2.30/2.68 ), X ) ] )
% 2.30/2.68 , clause( 18468, [ ~( =( cons( X, Y ), nil ) ), ~( ssItem( X ) ), ~( ssList(
% 2.30/2.68 Y ) ) ] )
% 2.30/2.68 , clause( 18469, [ ~( =( cons( X, Y ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.30/2.68 Y ) ) ] )
% 2.30/2.68 , clause( 18470, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 2.30/2.68 ) ] )
% 2.30/2.68 , clause( 18471, [ ~( singletonP( X ) ), ~( ssList( X ) ), =( cons( skaf44(
% 2.30/2.68 X ), nil ), X ) ] )
% 2.30/2.68 , clause( 18472, [ ~( ssItem( X ) ), ~( ssItem( Y ) ), neq( Y, X ), =( Y, X
% 2.30/2.68 ) ] )
% 2.30/2.68 , clause( 18473, [ ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), leq(
% 2.30/2.68 X, Y ) ] )
% 2.30/2.68 , clause( 18474, [ ~( ssList( X ) ), =( cons( hd( X ), tl( X ) ), X ), =(
% 2.30/2.68 nil, X ) ] )
% 2.30/2.68 , clause( 18475, [ ~( gt( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.30/2.68 Y, X ) ] )
% 2.30/2.68 , clause( 18476, [ ~( lt( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ), gt(
% 2.30/2.68 Y, X ) ] )
% 2.30/2.68 , clause( 18477, [ ~( geq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ),
% 2.30/2.68 leq( Y, X ) ] )
% 2.30/2.68 , clause( 18478, [ ~( leq( X, Y ) ), ~( ssItem( X ) ), ~( ssItem( Y ) ),
% 2.30/2.68 geq( Y, X ) ] )
% 2.30/2.68 , clause( 18479, [ ~( ssList( X ) ), =( cons( skaf83( X ), skaf82( X ) ), X
% 2.30/2.68 ), =( nil, X ) ] )
% 2.30/2.68 , clause( 18480, [ ~( gt( X, Y ) ), ~( gt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.30/2.68 ssItem( Y ) ) ] )
% 2.30/2.68 , clause( 18481, [ ~( =( X, Y ) ), ~( lt( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.30/2.68 ssItem( X ) ) ] )
% 2.30/2.68 , clause( 18482, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.30/2.68 strictorderedP( cons( Y, X ) ) ] )
% 2.30/2.68 , clause( 18483, [ ~( =( nil, X ) ), ~( ssList( X ) ), ~( ssItem( Y ) ),
% 2.30/2.68 totalorderedP( cons( Y, X ) ) ] )
% 2.30/2.68 , clause( 18484, [ ~( lt( X, Y ) ), ~( lt( Y, X ) ), ~( ssItem( X ) ), ~(
% 2.30/2.68 ssItem( Y ) ) ] )
% 2.30/2.68 , clause( 18485, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.30/2.68 ssList( X ) ) ] )
% 2.30/2.68 , clause( 18486, [ ~( =( cons( X, nil ), Y ) ), ~( ssItem( X ) ), ~( ssList(
% 2.30/2.68 Y ) ), singletonP( Y ) ] )
% 2.30/2.68 , clause( 18487, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssItem( Y ) ), ~(
% 2.30/2.68 ssItem( X ) ) ] )
% 2.30/2.68 , clause( 18488, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.30/2.68 X ) ), =( nil, X ) ] )
% 2.30/2.68 , clause( 18489, [ ~( =( app( X, Y ), nil ) ), ~( ssList( Y ) ), ~( ssList(
% 2.30/2.68 X ) ), =( nil, Y ) ] )
% 2.30/2.68 , clause( 18490, [ ~( ssItem( X ) ), ~( ssList( Y ) ), =( app( cons( X, nil
% 2.30/2.68 ), Y ), cons( X, Y ) ) ] )
% 2.30/2.68 , clause( 18491, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.30/2.68 X, Y ), =( X, Y ) ] )
% 2.30/2.68 , clause( 18492, [ ~( leq( X, Y ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), lt(
% 2.30/2.68 X, Y ), =( X, Y ) ] )
% 2.30/2.68 , clause( 18493, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( hd(
% 2.30/2.68 app( Y, X ) ), hd( Y ) ) ] )
% 2.30/2.68 , clause( 18494, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.30/2.68 ~( ssItem( X ) ), strictorderedP( Y ), =( nil, Y ) ] )
% 2.30/2.68 , clause( 18495, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.30/2.68 ~( ssItem( X ) ), totalorderedP( Y ), =( nil, Y ) ] )
% 2.30/2.68 , clause( 18496, [ ~( geq( X, Y ) ), ~( geq( Y, X ) ), ~( ssItem( X ) ),
% 2.30/2.68 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.30/2.68 , clause( 18497, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, X ) ), ~( ssList(
% 2.30/2.68 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.30/2.68 , clause( 18498, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, X ) ), ~( ssList(
% 2.30/2.68 X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.30/2.68 , clause( 18499, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, X ) ), ~(
% 2.30/2.68 ssList( X ) ), ~( ssList( Y ) ), =( Y, X ) ] )
% 2.30/2.68 , clause( 18500, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( ssItem( X ) ),
% 2.30/2.68 ~( ssItem( Y ) ), =( Y, X ) ] )
% 2.30/2.68 , clause( 18501, [ ~( rearsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.30/2.68 ), =( app( skaf46( X, Y ), Y ), X ) ] )
% 2.30/2.68 , clause( 18502, [ ~( frontsegP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.30/2.68 ), =( app( Y, skaf45( X, Y ) ), X ) ] )
% 2.30/2.68 , clause( 18503, [ ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( tl(
% 2.30/2.68 app( Y, X ) ), app( tl( Y ), X ) ) ] )
% 2.30/2.68 , clause( 18504, [ ~( strictorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.30/2.68 ~( ssItem( X ) ), lt( X, hd( Y ) ), =( nil, Y ) ] )
% 2.30/2.68 , clause( 18505, [ ~( totalorderedP( cons( X, Y ) ) ), ~( ssList( Y ) ),
% 2.30/2.68 ~( ssItem( X ) ), leq( X, hd( Y ) ), =( nil, Y ) ] )
% 2.30/2.68 , clause( 18506, [ ~( rearsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.30/2.68 ), ~( ssList( X ) ), rearsegP( app( Z, X ), Y ) ] )
% 2.30/2.68 , clause( 18507, [ ~( frontsegP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( Y )
% 2.30/2.68 ), ~( ssList( X ) ), frontsegP( app( X, Z ), Y ) ] )
% 2.30/2.68 , clause( 18508, [ ~( =( X, Y ) ), ~( ssList( Z ) ), ~( ssItem( Y ) ), ~(
% 2.30/2.68 ssItem( X ) ), memberP( cons( Y, Z ), X ) ] )
% 2.30/2.68 , clause( 18509, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssItem( Z ) )
% 2.30/2.68 , ~( ssItem( Y ) ), memberP( cons( Z, X ), Y ) ] )
% 2.30/2.68 , clause( 18510, [ ~( memberP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( X ) )
% 2.30/2.68 , ~( ssItem( Y ) ), memberP( app( X, Z ), Y ) ] )
% 2.30/2.68 , clause( 18511, [ ~( memberP( X, Y ) ), ~( ssList( X ) ), ~( ssList( Z ) )
% 2.30/2.68 , ~( ssItem( Y ) ), memberP( app( Z, X ), Y ) ] )
% 2.30/2.68 , clause( 18512, [ ~( ssList( X ) ), equalelemsP( X ), =( app( skaf80( X )
% 2.30/2.68 , cons( skaf78( X ), cons( skaf79( X ), skaf81( X ) ) ) ), X ) ] )
% 2.30/2.68 , clause( 18513, [ ~( =( app( X, Y ), Z ) ), ~( ssList( X ) ), ~( ssList( Y
% 2.30/2.68 ) ), ~( ssList( Z ) ), rearsegP( Z, Y ) ] )
% 2.30/2.68 , clause( 18514, [ ~( =( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~( ssList( X
% 2.30/2.68 ) ), ~( ssList( Z ) ), frontsegP( Z, X ) ] )
% 2.30/2.68 , clause( 18515, [ ~( =( nil, X ) ), ~( =( nil, Y ) ), ~( ssList( Y ) ),
% 2.30/2.68 ~( ssList( X ) ), =( app( X, Y ), nil ) ] )
% 2.30/2.68 , clause( 18516, [ ~( gt( X, Y ) ), ~( gt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.30/2.68 ssItem( Y ) ), ~( ssItem( X ) ), gt( X, Z ) ] )
% 2.30/2.68 , clause( 18517, [ ~( leq( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.30/2.68 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.30/2.68 , clause( 18518, [ ~( geq( X, Y ) ), ~( geq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.30/2.68 ~( ssItem( Y ) ), ~( ssItem( X ) ), geq( X, Z ) ] )
% 2.30/2.68 , clause( 18519, [ ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.30/2.68 =( app( app( Z, Y ), X ), app( Z, app( Y, X ) ) ) ] )
% 2.30/2.68 , clause( 18520, [ ~( =( app( X, Y ), app( X, Z ) ) ), ~( ssList( Y ) ),
% 2.30/2.68 ~( ssList( X ) ), ~( ssList( Z ) ), =( Y, Z ) ] )
% 2.30/2.68 , clause( 18521, [ ~( =( app( X, Y ), app( Z, Y ) ) ), ~( ssList( X ) ),
% 2.30/2.68 ~( ssList( Y ) ), ~( ssList( Z ) ), =( X, Z ) ] )
% 2.30/2.68 , clause( 18522, [ ~( segmentP( X, Y ) ), ~( segmentP( Y, Z ) ), ~( ssList(
% 2.30/2.68 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( X, Z ) ] )
% 2.30/2.68 , clause( 18523, [ ~( rearsegP( X, Y ) ), ~( rearsegP( Y, Z ) ), ~( ssList(
% 2.30/2.68 Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), rearsegP( X, Z ) ] )
% 2.30/2.68 , clause( 18524, [ ~( frontsegP( X, Y ) ), ~( frontsegP( Y, Z ) ), ~(
% 2.30/2.68 ssList( Z ) ), ~( ssList( Y ) ), ~( ssList( X ) ), frontsegP( X, Z ) ] )
% 2.30/2.68 , clause( 18525, [ ~( lt( X, Y ) ), ~( lt( Y, Z ) ), ~( ssItem( Z ) ), ~(
% 2.30/2.68 ssItem( Y ) ), ~( ssItem( X ) ), lt( X, Z ) ] )
% 2.30/2.68 , clause( 18526, [ ~( leq( X, Y ) ), ~( leq( Y, Z ) ), ~( ssItem( Z ) ),
% 2.30/2.68 ~( ssItem( Y ) ), ~( ssItem( X ) ), leq( X, Z ) ] )
% 2.30/2.68 , clause( 18527, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( ssList( Z ) ),
% 2.30/2.68 =( cons( X, app( Y, Z ) ), app( cons( X, Y ), Z ) ) ] )
% 2.30/2.68 , clause( 18528, [ ~( memberP( app( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.30/2.68 ssList( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), memberP( X, Z ) ] )
% 2.30/2.68 , clause( 18529, [ ~( leq( X, hd( Y ) ) ), ~( totalorderedP( Y ) ), ~(
% 2.30/2.68 ssList( Y ) ), ~( ssItem( X ) ), totalorderedP( cons( X, Y ) ), =( nil, Y
% 2.30/2.68 ) ] )
% 2.30/2.68 , clause( 18530, [ ~( lt( X, hd( Y ) ) ), ~( strictorderedP( Y ) ), ~(
% 2.30/2.68 ssList( Y ) ), ~( ssItem( X ) ), strictorderedP( cons( X, Y ) ), =( nil,
% 2.30/2.68 Y ) ] )
% 2.30/2.68 , clause( 18531, [ ~( memberP( cons( X, Y ), Z ) ), ~( ssList( Y ) ), ~(
% 2.30/2.68 ssItem( X ) ), ~( ssItem( Z ) ), memberP( Y, Z ), =( Z, X ) ] )
% 2.30/2.68 , clause( 18532, [ ~( ssList( X ) ), duplicatefreeP( X ), =( app( app(
% 2.30/2.68 skaf75( X ), cons( skaf74( X ), skaf76( X ) ) ), cons( skaf74( X ),
% 2.30/2.68 skaf77( X ) ) ), X ) ] )
% 2.30/2.68 , clause( 18533, [ ~( ssList( X ) ), strictorderedP( X ), =( app( app(
% 2.30/2.68 skaf71( X ), cons( skaf69( X ), skaf72( X ) ) ), cons( skaf70( X ),
% 2.30/2.68 skaf73( X ) ) ), X ) ] )
% 2.30/2.68 , clause( 18534, [ ~( ssList( X ) ), totalorderedP( X ), =( app( app(
% 2.30/2.68 skaf66( X ), cons( skaf64( X ), skaf67( X ) ) ), cons( skaf65( X ),
% 2.30/2.68 skaf68( X ) ) ), X ) ] )
% 2.30/2.68 , clause( 18535, [ ~( ssList( X ) ), strictorderP( X ), =( app( app( skaf61(
% 2.30/2.68 X ), cons( skaf59( X ), skaf62( X ) ) ), cons( skaf60( X ), skaf63( X ) )
% 2.30/2.68 ), X ) ] )
% 2.30/2.68 , clause( 18536, [ ~( ssList( X ) ), totalorderP( X ), =( app( app( skaf56(
% 2.30/2.68 X ), cons( skaf54( X ), skaf57( X ) ) ), cons( skaf55( X ), skaf58( X ) )
% 2.30/2.68 ), X ) ] )
% 2.30/2.68 , clause( 18537, [ ~( ssList( X ) ), cyclefreeP( X ), =( app( app( skaf51(
% 2.30/2.68 X ), cons( skaf49( X ), skaf52( X ) ) ), cons( skaf50( X ), skaf53( X ) )
% 2.30/2.68 ), X ) ] )
% 2.30/2.68 , clause( 18538, [ ~( segmentP( X, Y ) ), ~( ssList( Y ) ), ~( ssList( X )
% 2.30/2.68 ), =( app( app( skaf47( X, Y ), Y ), skaf48( Y, X ) ), X ) ] )
% 2.30/2.68 , clause( 18539, [ ~( memberP( X, Y ) ), ~( ssItem( Y ) ), ~( ssList( X ) )
% 2.30/2.68 , =( app( skaf42( X, Y ), cons( Y, skaf43( Y, X ) ) ), X ) ] )
% 2.30/2.68 , clause( 18540, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.30/2.68 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( X, Z ) ] )
% 2.30/2.68 , clause( 18541, [ ~( =( cons( X, Y ), cons( Z, T ) ) ), ~( ssItem( Z ) ),
% 2.30/2.68 ~( ssItem( X ) ), ~( ssList( T ) ), ~( ssList( Y ) ), =( T, Y ) ] )
% 2.30/2.68 , clause( 18542, [ ~( segmentP( X, Y ) ), ~( ssList( Z ) ), ~( ssList( T )
% 2.30/2.68 ), ~( ssList( Y ) ), ~( ssList( X ) ), segmentP( app( app( T, X ), Z ),
% 2.30/2.68 Y ) ] )
% 2.30/2.68 , clause( 18543, [ ~( =( app( app( X, Y ), Z ), T ) ), ~( ssList( Z ) ),
% 2.30/2.68 ~( ssList( X ) ), ~( ssList( Y ) ), ~( ssList( T ) ), segmentP( T, Y ) ]
% 2.30/2.68 )
% 2.30/2.68 , clause( 18544, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.30/2.68 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), frontsegP( Y
% 2.30/2.68 , T ) ] )
% 2.30/2.68 , clause( 18545, [ ~( =( app( X, cons( Y, Z ) ), T ) ), ~( ssList( Z ) ),
% 2.30/2.68 ~( ssList( X ) ), ~( ssItem( Y ) ), ~( ssList( T ) ), memberP( T, Y ) ]
% 2.30/2.68 )
% 2.30/2.68 , clause( 18546, [ ~( frontsegP( cons( X, Y ), cons( Z, T ) ) ), ~( ssList(
% 2.30/2.68 T ) ), ~( ssList( Y ) ), ~( ssItem( Z ) ), ~( ssItem( X ) ), =( X, Z ) ]
% 2.30/2.68 )
% 2.30/2.68 , clause( 18547, [ ~( =( tl( X ), tl( Y ) ) ), ~( =( hd( X ), hd( Y ) ) ),
% 2.30/2.68 ~( ssList( X ) ), ~( ssList( Y ) ), =( nil, Y ), =( X, Y ), =( nil, X ) ]
% 2.30/2.68 )
% 2.30/2.68 , clause( 18548, [ ~( frontsegP( X, Y ) ), ~( =( Z, T ) ), ~( ssList( Y ) )
% 2.30/2.68 , ~( ssList( X ) ), ~( ssItem( T ) ), ~( ssItem( Z ) ), frontsegP( cons(
% 2.30/2.68 Z, X ), cons( T, Y ) ) ] )
% 2.30/2.68 , clause( 18549, [ ~( =( app( app( X, cons( Y, Z ) ), cons( Y, T ) ), U ) )
% 2.30/2.68 , ~( ssList( T ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( Y ) )
% 2.30/2.68 , ~( duplicatefreeP( U ) ), ~( ssList( U ) ) ] )
% 2.30/2.68 , clause( 18550, [ ~( =( app( X, cons( Y, cons( Z, T ) ) ), U ) ), ~(
% 2.30/2.68 ssList( T ) ), ~( ssList( X ) ), ~( ssItem( Z ) ), ~( ssItem( Y ) ), ~(
% 2.30/2.68 equalelemsP( U ) ), ~( ssList( U ) ), =( Y, Z ) ] )
% 2.30/2.68 , clause( 18551, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.30/2.68 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.30/2.68 , ~( ssItem( Y ) ), ~( strictorderedP( W ) ), ~( ssList( W ) ), lt( Y, T
% 2.30/2.68 ) ] )
% 2.30/2.68 , clause( 18552, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.30/2.68 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.30/2.68 , ~( ssItem( Y ) ), ~( totalorderedP( W ) ), ~( ssList( W ) ), leq( Y, T
% 2.30/2.68 ) ] )
% 2.30/2.68 , clause( 18553, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.30/2.68 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.30/2.68 , ~( ssItem( Y ) ), ~( strictorderP( W ) ), ~( ssList( W ) ), lt( Y, T )
% 2.30/2.68 , lt( T, Y ) ] )
% 2.30/2.68 , clause( 18554, [ ~( =( app( app( X, cons( Y, Z ) ), cons( T, U ) ), W ) )
% 2.30/2.68 , ~( ssList( U ) ), ~( ssList( Z ) ), ~( ssList( X ) ), ~( ssItem( T ) )
% 2.30/2.68 , ~( ssItem( Y ) ), ~( totalorderP( W ) ), ~( ssList( W ) ), leq( Y, T )
% 2.30/2.68 , leq( T, Y ) ] )
% 2.30/2.68 , clause( 18555, [ ~( leq( X, Y ) ), ~( leq( Y, X ) ), ~( =( app( app( Z,
% 2.30/2.68 cons( X, T ) ), cons( Y, U ) ), W ) ), ~( ssList( U ) ), ~( ssList( T ) )
% 2.30/2.68 , ~( ssList( Z ) ), ~( ssItem( Y ) ), ~( ssItem( X ) ), ~( cyclefreeP( W
% 2.30/2.68 ) ), ~( ssList( W ) ) ] )
% 2.30/2.68 , clause( 18556, [ ssList( sk1 ) ] )
% 2.30/2.68 , clause( 18557, [ ssList( sk2 ) ] )
% 2.30/2.68 , clause( 18558, [ ssList( sk3 ) ] )
% 2.30/2.68 , clause( 18559, [ ssList( sk4 ) ] )
% 2.30/2.68 , clause( 18560, [ =( sk2, sk4 ) ] )
% 2.30/2.68 , clause( 18561, [ =( sk1, sk3 ) ] )
% 2.30/2.68 , clause( 18562, [ neq( sk2, nil ) ] )
% 2.30/2.68 , clause( 18563, [ ssList( sk5 ) ] )
% 2.30/2.68 , clause( 18564, [ ssList( sk6 ) ] )
% 2.30/2.68 , clause( 18565, [ =( app( app( sk5, sk3 ), sk6 ), sk4 ) ] )
% 2.30/2.68 , clause( 18566, [ equalelemsP( sk3 ) ] )
% 2.30/2.68 , clause( 18567, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( Y, cons(
% 2.30/2.68 X, nil ) ), sk5 ) ), ~( ssList( Z ) ), ~( =( app( cons( X, nil ), Z ),
% 2.30/2.68 sk3 ) ) ] )
% 2.30/2.68 , clause( 18568, [ ~( ssItem( X ) ), ~( ssList( Y ) ), ~( =( app( cons( X,
% 2.34/2.72 nil ), Y ), sk6 ) ), ~( ssList( Z ) ), ~( =( app( Z, cons( X, nil ) ),
% 2.34/2.72 sk3 ) ) ] )
% 2.34/2.72 , clause( 18569, [ ~( neq( sk1, nil ) ) ] )
% 2.34/2.72 , clause( 18570, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 2.34/2.72 ] ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 7, [ ssList( nil ) ] )
% 2.34/2.72 , clause( 18378, [ ssList( nil ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X ) ]
% 2.34/2.72 )
% 2.34/2.72 , clause( 18470, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X
% 2.34/2.72 ) ] )
% 2.34/2.72 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.72 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 112, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.34/2.72 ssList( X ) ) ] )
% 2.34/2.72 , clause( 18485, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.34/2.72 ssList( X ) ) ] )
% 2.34/2.72 , substitution( 0, [ :=( X, X ), :=( Y, Y )] ), permutation( 0, [ ==>( 0, 0
% 2.34/2.72 ), ==>( 1, 1 ), ==>( 2, 2 ), ==>( 3, 3 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 182, [ ssList( sk1 ) ] )
% 2.34/2.72 , clause( 18556, [ ssList( sk1 ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 183, [ ssList( sk2 ) ] )
% 2.34/2.72 , clause( 18557, [ ssList( sk2 ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 eqswap(
% 2.34/2.72 clause( 20908, [ =( sk4, sk2 ) ] )
% 2.34/2.72 , clause( 18560, [ =( sk2, sk4 ) ] )
% 2.34/2.72 , 0, substitution( 0, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 186, [ =( sk4, sk2 ) ] )
% 2.34/2.72 , clause( 20908, [ =( sk4, sk2 ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 eqswap(
% 2.34/2.72 clause( 21667, [ =( sk3, sk1 ) ] )
% 2.34/2.72 , clause( 18561, [ =( sk1, sk3 ) ] )
% 2.34/2.72 , 0, substitution( 0, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 187, [ =( sk3, sk1 ) ] )
% 2.34/2.72 , clause( 21667, [ =( sk3, sk1 ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 188, [ neq( sk2, nil ) ] )
% 2.34/2.72 , clause( 18562, [ neq( sk2, nil ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 195, [ ~( neq( sk1, nil ) ) ] )
% 2.34/2.72 , clause( 18569, [ ~( neq( sk1, nil ) ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 paramod(
% 2.34/2.72 clause( 24393, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 2.34/2.72 , clause( 186, [ =( sk4, sk2 ) ] )
% 2.34/2.72 , 0, clause( 18570, [ =( nil, sk4 ), ~( =( nil, sk3 ) ) ] )
% 2.34/2.72 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 paramod(
% 2.34/2.72 clause( 24394, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 2.34/2.72 , clause( 187, [ =( sk3, sk1 ) ] )
% 2.34/2.72 , 0, clause( 24393, [ =( nil, sk2 ), ~( =( nil, sk3 ) ) ] )
% 2.34/2.72 , 1, 3, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 196, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 2.34/2.72 , clause( 24394, [ ~( =( nil, sk1 ) ), =( nil, sk2 ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.34/2.72 ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 eqswap(
% 2.34/2.72 clause( 24398, [ =( Y, X ), ~( ssList( Y ) ), ~( ssList( X ) ), neq( X, Y )
% 2.34/2.72 ] )
% 2.34/2.72 , clause( 97, [ ~( ssList( X ) ), ~( ssList( Y ) ), neq( Y, X ), =( Y, X )
% 2.34/2.72 ] )
% 2.34/2.72 , 3, substitution( 0, [ :=( X, Y ), :=( Y, X )] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 resolution(
% 2.34/2.72 clause( 24399, [ =( nil, sk1 ), ~( ssList( nil ) ), ~( ssList( sk1 ) ) ] )
% 2.34/2.72 , clause( 195, [ ~( neq( sk1, nil ) ) ] )
% 2.34/2.72 , 0, clause( 24398, [ =( Y, X ), ~( ssList( Y ) ), ~( ssList( X ) ), neq( X
% 2.34/2.72 , Y ) ] )
% 2.34/2.72 , 3, substitution( 0, [] ), substitution( 1, [ :=( X, sk1 ), :=( Y, nil )] )
% 2.34/2.72 ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 resolution(
% 2.34/2.72 clause( 24400, [ =( nil, sk1 ), ~( ssList( sk1 ) ) ] )
% 2.34/2.72 , clause( 24399, [ =( nil, sk1 ), ~( ssList( nil ) ), ~( ssList( sk1 ) ) ]
% 2.34/2.72 )
% 2.34/2.72 , 1, clause( 7, [ ssList( nil ) ] )
% 2.34/2.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 3177, [ ~( ssList( sk1 ) ), =( nil, sk1 ) ] )
% 2.34/2.72 , clause( 24400, [ =( nil, sk1 ), ~( ssList( sk1 ) ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 1 ), ==>( 1, 0 )] )
% 2.34/2.72 ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 resolution(
% 2.34/2.72 clause( 24403, [ =( nil, sk1 ) ] )
% 2.34/2.72 , clause( 3177, [ ~( ssList( sk1 ) ), =( nil, sk1 ) ] )
% 2.34/2.72 , 0, clause( 182, [ ssList( sk1 ) ] )
% 2.34/2.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 3772, [ =( nil, sk1 ) ] )
% 2.34/2.72 , clause( 24403, [ =( nil, sk1 ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 paramod(
% 2.34/2.72 clause( 24406, [ neq( sk2, sk1 ) ] )
% 2.34/2.72 , clause( 3772, [ =( nil, sk1 ) ] )
% 2.34/2.72 , 0, clause( 188, [ neq( sk2, nil ) ] )
% 2.34/2.72 , 0, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 3911, [ neq( sk2, sk1 ) ] )
% 2.34/2.72 , clause( 24406, [ neq( sk2, sk1 ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 eqswap(
% 2.34/2.72 clause( 24407, [ ~( =( Y, X ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.34/2.72 ssList( X ) ) ] )
% 2.34/2.72 , clause( 112, [ ~( =( X, Y ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.34/2.72 ssList( X ) ) ] )
% 2.34/2.72 , 0, substitution( 0, [ :=( X, X ), :=( Y, Y )] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 resolution(
% 2.34/2.72 clause( 24408, [ ~( =( sk1, sk2 ) ), ~( ssList( sk1 ) ), ~( ssList( sk2 ) )
% 2.34/2.72 ] )
% 2.34/2.72 , clause( 24407, [ ~( =( Y, X ) ), ~( neq( X, Y ) ), ~( ssList( Y ) ), ~(
% 2.34/2.72 ssList( X ) ) ] )
% 2.34/2.72 , 1, clause( 3911, [ neq( sk2, sk1 ) ] )
% 2.34/2.72 , 0, substitution( 0, [ :=( X, sk2 ), :=( Y, sk1 )] ), substitution( 1, [] )
% 2.34/2.72 ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 resolution(
% 2.34/2.72 clause( 24409, [ ~( =( sk1, sk2 ) ), ~( ssList( sk2 ) ) ] )
% 2.34/2.72 , clause( 24408, [ ~( =( sk1, sk2 ) ), ~( ssList( sk1 ) ), ~( ssList( sk2 )
% 2.34/2.72 ) ] )
% 2.34/2.72 , 1, clause( 182, [ ssList( sk1 ) ] )
% 2.34/2.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 eqswap(
% 2.34/2.72 clause( 24410, [ ~( =( sk2, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.34/2.72 , clause( 24409, [ ~( =( sk1, sk2 ) ), ~( ssList( sk2 ) ) ] )
% 2.34/2.72 , 0, substitution( 0, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 5138, [ ~( =( sk2, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.34/2.72 , clause( 24410, [ ~( =( sk2, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 ), ==>( 1, 1 )] )
% 2.34/2.72 ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 resolution(
% 2.34/2.72 clause( 24412, [ ~( =( sk2, sk1 ) ) ] )
% 2.34/2.72 , clause( 5138, [ ~( =( sk2, sk1 ) ), ~( ssList( sk2 ) ) ] )
% 2.34/2.72 , 1, clause( 183, [ ssList( sk2 ) ] )
% 2.34/2.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 7361, [ ~( =( sk2, sk1 ) ) ] )
% 2.34/2.72 , clause( 24412, [ ~( =( sk2, sk1 ) ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 paramod(
% 2.34/2.72 clause( 24420, [ ~( =( sk1, sk1 ) ), =( nil, sk2 ) ] )
% 2.34/2.72 , clause( 3772, [ =( nil, sk1 ) ] )
% 2.34/2.72 , 0, clause( 196, [ =( nil, sk2 ), ~( =( nil, sk1 ) ) ] )
% 2.34/2.72 , 1, 2, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 paramod(
% 2.34/2.72 clause( 24422, [ =( sk1, sk2 ), ~( =( sk1, sk1 ) ) ] )
% 2.34/2.72 , clause( 3772, [ =( nil, sk1 ) ] )
% 2.34/2.72 , 0, clause( 24420, [ ~( =( sk1, sk1 ) ), =( nil, sk2 ) ] )
% 2.34/2.72 , 1, 1, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 eqrefl(
% 2.34/2.72 clause( 24423, [ =( sk1, sk2 ) ] )
% 2.34/2.72 , clause( 24422, [ =( sk1, sk2 ), ~( =( sk1, sk1 ) ) ] )
% 2.34/2.72 , 1, substitution( 0, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 eqswap(
% 2.34/2.72 clause( 24424, [ =( sk2, sk1 ) ] )
% 2.34/2.72 , clause( 24423, [ =( sk1, sk2 ) ] )
% 2.34/2.72 , 0, substitution( 0, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 18368, [ =( sk2, sk1 ) ] )
% 2.34/2.72 , clause( 24424, [ =( sk2, sk1 ) ] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [ ==>( 0, 0 )] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 resolution(
% 2.34/2.72 clause( 24427, [] )
% 2.34/2.72 , clause( 7361, [ ~( =( sk2, sk1 ) ) ] )
% 2.34/2.72 , 0, clause( 18368, [ =( sk2, sk1 ) ] )
% 2.34/2.72 , 0, substitution( 0, [] ), substitution( 1, [] )).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 subsumption(
% 2.34/2.72 clause( 18369, [] )
% 2.34/2.72 , clause( 24427, [] )
% 2.34/2.72 , substitution( 0, [] ), permutation( 0, [] ) ).
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 end.
% 2.34/2.72
% 2.34/2.72 % ABCDEFGHIJKLMNOPQRSTUVWXYZ
% 2.34/2.72
% 2.34/2.72 Memory use:
% 2.34/2.72
% 2.34/2.72 space for terms: 391364
% 2.34/2.72 space for clauses: 934374
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 clauses generated: 86828
% 2.34/2.72 clauses kept: 18370
% 2.34/2.72 clauses selected: 677
% 2.34/2.72 clauses deleted: 215
% 2.34/2.72 clauses inuse deleted: 165
% 2.34/2.72
% 2.34/2.72 subsentry: 164207
% 2.34/2.72 literals s-matched: 97783
% 2.34/2.72 literals matched: 57278
% 2.34/2.72 full subsumption: 37448
% 2.34/2.72
% 2.34/2.72 checksum: 658598469
% 2.34/2.72
% 2.34/2.72
% 2.34/2.72 Bliksem ended
%------------------------------------------------------------------------------